Is it possible to hide the origin's display dot of the object(the black dot) from the viewport display ?
EDIT: Now possible in 2.8 and above: view Is there a way to hide all the origins in the 3D view?
In 2.7x and below it is not possible to hide only the center points. But if you need a clear view, you can activate Only Render in the Display Panel of the Properties Bar in the 3D View.

By the way the dot is not the center of mass, it is the center of transforms. (if you eg rotate the object, it will rotate around this point.) You can set the origin point to wherever you want with the weird shortcut ShiftCtrlAltC.